Consider the following information for three stocks, A, B, and C. The stocks' returns are positively but not perfectly positivel
y correlated with one another, i.e., the correlations are all between 0 and 1. Expected Standard Stock Return Deviation Beta A 10% 20% 1.0, B 10% 10% 1.0, C 12% 12% 1.4 Portfolio AB has half of its funds invested in Stock A and half in Stock B. Portfolio ABC has one third of its funds invested in each of the three stocks. Which of the following statements is CORRECT?
a) Portfolio ABC's expected return is 10.66667%.
b) Portfolio AB has a standard deviation of 20%.
c) Portfolio ABC has a standard deviation of 20%.
d) Portfolio AB's required return is greater than the required return on Stock A.
e) Portfolio AB's coefficient of variation is greater than 2.0.
The expected return is based on the risk factor of a project. If a project has higher risk its rate of return will be higher. Portfolio ABC has one third of its funds invested in each stock. The return of on A and B are 20% and 10%. Their beta is 1.0 for both the stocks while stock C has beta 1.4. The portfolio expected return will be 10.66667%.
Let Dupe's age be x. Let Olu's age be y. Since their ages add up to 25 years, x + y = 25
Eight years ago Dupe's age was double that of Olu's age. Solving by simultaneous equations. Four methods are Elimination Method, Graphical Method, Substitution Method, and Matrix Method. Let us try out Elimination method for solving a pair of simultaneous linear equations that reduces one equation to one that has only a single variable. Once this has been done, the solution is the same as that for when one line was vertical or parallel.
Therefore, eight years ago, Dupe's age was 6 and Olu's age was 3 so that x=2y becomes, 6=2*3. Eight years hence, x=6+8=14 and y=3+8=11. That makes, x or Dupe's age as 14 years and y or Olu's age as 11 years.